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1144146224 = 241322318397
BaseRepresentation
bin100010000110010…
…0100100100110000
32221201220122120002
41010030210210300
54320400134344
6305311005132
740232040164
oct10414444460
92851818502
101144146224
11537927aa1
1227b2097a8
13153069800
14abd50ca4
156a6a644e
hex44324930

1144146224 has 60 divisors (see below), whose sum is σ = 2504924496. Its totient is φ = 505080576.

The previous prime is 1144146209. The next prime is 1144146229. The reversal of 1144146224 is 4226414411.

It is not an unprimeable number, because it can be changed into a prime (1144146229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52994 + ... + 71390.

Almost surely, 21144146224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252462248).

1144146224 is an abundant number, since it is smaller than the sum of its proper divisors (1360778272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1144146224 is a wasteful number, since it uses less digits than its factorization.

1144146224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18454 (or 18435 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 1144146224 is about 33825.2305831017. The cubic root of 1144146224 is about 1045.9088646108.

The spelling of 1144146224 in words is "one billion, one hundred forty-four million, one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 598 676 1196 1352 2392 2704 3887 4784 7774 15548 18397 31096 36794 62192 73588 147176 239161 294352 423131 478322 846262 956644 1692524 1913288 3109093 3385048 3826576 5500703 6218186 6770096 11001406 12436372 22002812 24872744 44005624 49745488 71509139 88011248 143018278 286036556 572073112 1144146224